Question

What is the equation of a line that passes thorough the point (9,-3) and is parallel yo the line whose equation is 2x-3y=6?

Answer 1

y = 2/3 - 9

Explanation:

1. rearrange the equation

-3y = -2x + 6

y = 2/3 - 2

2. because it is parallel, the gradient will be the same. substitute into y - y1 = m(x-x1)

y - (-3) = 2/3 (x - 9)

y + 3 = 2/3 - 6

y = 2/3 - 9

Answer 2

y+3=2/3(x-9)

Explanation:

2x-3y=6

-3y=-2x+6

y=2/3x-2

This means that any line parallel to it must have a slope of 2/3 as well. Therefore, the equation of this line, in point slope form, is:

y+3=2/3(x-9)

Hope this helps!